Answer:
Step-by-step explanation:
<u>Total number of integers from 300 through 780, inclusive:</u>
<u>Number of integers with at least one of digit 1:</u>
- Hundreds - 0,
- Tens - 5*10 = 50 (31th, 41th, 51th, 61th, 71th)
- Units - 4*9 + 7 = 43 (300 till 699 and 700 till 780)
- So in total 50 + 43 = 93
<u>The probability is:</u>
- P = favorable outcomes/total outcomes = 93/481
Answer:
C. 2428
Step-by-step explanation:
c=152t-44d
Its given that,
t=18, d=7
substituting
c=152(18)-44(7)=2428
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Answer:
Option A.
Step-by-step explanation:
We need to find a table for which the y-value will be the greatest for very large values of x.
From the given table it is clear that the largest value of x in all tables is 5.
In table A, y=64 at x=5.
In table B, y=32 at x=5.
In table C, y=40 at x=5.
In table D, y=13 at x=5.
It is clear that 64 is the greatest value among 64, 32, 40 and 13.
It means table in option A represents the function for which the y-value will be the greatest for very large values of x.
Therefore, the correct option is A.
Answer:
<em>84%</em><em> of the wage earners earn less than $14,000 each. </em>
Step-by-step explanation:
The Empirical Rule (68-95-99.7%)-
According to this around 95% of the data will fall within two standard deviations of the mean.
As the bell curve is symmetrical, so the remaining 5% will be divided into 2 equal parts. So 2.5% will be above 2 standard deviation and 2.5% will be below 2 standard deviation.
As it is given that, the top 2.5% of the wage earners earn $18,000 or more, so 18,000 is 2 standard deviation away from the mean 10,000.
i.e 
We know that,
where,
X = raw score = 14,000
μ = 10,000
σ = 4,000
Putting the values,
Now, calculating the value from the z score table,
As the probability at 
is the area below that, so 84% of the wage earners earn less than $14,000 each.
1/3 (3y - 6) = 8
distribute: y - 2 = 8
add 2 to both sides: y = 10
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